What is the Least Common Multiple of 70242 and 70252?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 70242 and 70252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70242 and 70252, than apply into the LCM equation.

GCF(70242,70252) = 2
LCM(70242,70252) = ( 70242 × 70252) / 2
LCM(70242,70252) = 4934640984 / 2
LCM(70242,70252) = 2467320492

Least Common Multiple (LCM) of 70242 and 70252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70242 and 70252. First we will calculate the prime factors of 70242 and 70252.

Prime Factorization of 70242

Prime Factorization of 70252

Now multiplying the highest exponent prime factors to calculate the LCM of 70242 and 70252.

LCM(70242,70252) = 2² × 3¹ × 23¹ × 509¹ × 7¹ × 13¹ × 193¹
LCM(70242,70252) = 2467320492